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Polynomial bijection from $\mathbb Q\times\mathbb Q$ to $\mathbb Q$?

Widely accepted mathematical results that were later shown to be wrong?

If $f$ is infinitely differentiable then $f$ coincides with a polynomial

Magic trick based on deep mathematics

Knuth's intuition that Goldbach might be unprovable

Convergence of $\sum(n^3\sin^2n)^{-1}$

Are there other nice math books close to the style of Tristan Needham?

What is the field with one element?

Google question: In a country in which people only want boys [closed]

Is Mac Lane still the best place to learn category theory?

Riemann hypothesis via absolute geometry

How to find ICM talks?

Does a power series converging everywhere on its circle of convergence define a continuous function?

Kahler differentials and Ordinary Differentials

Linear Algebra Texts?

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Interesting Calculus Questions/Exercises

Conway's game of life for random initial position

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Down-To-Earth Uses of de Rham Cohomology to Convince a Wide Audience of its Usefulness

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How is the physical meaning of an irreducible representation justified?

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The 'real' use of Quantum Algebra, Non-commutative Geometry, Representation Theory, and Algebraic Geometry to Physics

The finite subgroups of SL(2,C)

Induction and Coinduction of Representations

Is $\sum_{k=1}^{n} \sin(k^2)$ bounded by a constant $M$?

Interesting applications (in pure mathematics) of first-year calculus

Fast matrix multiplication